I believe the answer is no, the second person of the trinity took flesh in the womb of Mary at a point in human history.
But it raises an interesting question. We are told that God is unchanging, but here we have the second person of the Trinity taking a second nature, so God does seem to change. I’m sure there is an answer to that.
There is also a second point. We are told that we are made in God’s image and likeness, which is taken to be a spiritual likeness. But someone said to me that since God always knew in what form his Son would become incarnate, that likeness extends to our human likeness as well. I don’t know if that is correct either, but I’m sure someone will put me right on that.